Question

There are two numbers. One number is twice the other number. The difference of the smaller number and half the larger number is 20. An equation created to find the smaller number will have .

A.No solution
B.One solution
C.Infinitely many solutions

Answer 1

Let's assume x be the number.

Given that, one number is twice the other number. Hence, the second number be 2x.

So, x= smaller number and 2x= larger number.

Given that, difference of x and half of 2x is 20. Hence,

x-x=20 (By simplifying)

0=20

From the above result we can see that x has vanish and we are left with 0=20 which is mathematically not correct.

Hence, there is no solution.

Answer 2

Answer: The correct option is (A). No solution.

Step-by-step explanation: Given that there are two numbers, out of which one is twice the other. And, the difference of the smaller number and half the larger number is 20.

We are to select the correct option about the solution of the equation that is created to find the smaller number.

Let 'x' represents one of the numbers.

Then, according to the given information, the other number will be '2x.'

So, the equation to find the smaller number 'x' can be created as

`x-(1)/(2)* 2x=20\\\\\Rightarrow x-x=20\\\\\Rightarrow 0=20,`

which is not true.

Therefore, the equation will have no solution.

Thus, (A) is the correct option.